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- Jan 26, 2012

- 995

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**: Suppose that $A_1\supseteq A_2\supseteq A_3\supseteq\cdots\supseteq A_n\cdots$ is a sequence of measurable sets with $m\left(A_1\right)<\infty$. Show that $$m\left( \bigcap\limits_{i=1}^{\infty}A_i\right) =\lim\limits_{i\to\infty}m\left(A_i\right).$$**

Problem

Problem

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